Solutions of the Ginsparg-Wilson Relation

Abstract

We analyze general solutions of the Ginsparg-Wilson relation for lattice Dirac operators and formulate a necessary condition for such operators to have non-zero index in the topologically nontrivial background gauge fields.

6 pages, latex, no figures, set T to 1 in eqs. (10)--(13)

References in corpus (8)

• Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation
• More about exactly massless quarks on the lattice
• The index theorem in QCD with a finite cut-off
• Lattice QCD without tuning, mixing and current renormalization
• Topological Charge and The Spectrum of Exactly Massless Fermions on the Lattice
• Lattice QCD with Ginsparg-Wilson fermions
• Chiral structure of the solutions of the Ginsparg-Wilson relation
• Extension of the Nielsen-Ninomiya theorem

Cited by in corpus (53)

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• The Phase Diagram of High Temperature QCD with Three Flavors of Improved Staggered Quarks
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